Rearranging the letters of 'Dannii Minogue' gives:
Imagined union
(by David Bourke by hand) (1997)
I guide no man in
(by anon by hand) (2000)
I dig mean union.
(by Mark McNamara using Anagram Genius) (2009) (pending approval)
I nude? I moaning!
(by Mark McNamara using Anagram Genius) (2009) (pending approval)
Union aiding me.
(by Mark McNamara using Anagram Genius) (2009) (pending approval)
Other related anagrams without their own page:
"The singer and former soap actress Kylie Ann Minogue" -> "In mastectomy danger? She is, I fear, no longer a spunker." (by David Bourke using Anagram Genius) (2005)
"The Australian singer and actress Kylie Minogue" -> "Great arse. Dismal talent. You shrieking nuisance!" (by David Bourke using Anagram Genius) (2003)
"The singer Kylie Ann Minogue" -> "Genuine nightly noisemaker." (by David Bourke using Anagram Genius) (2002)
"Singer Kylie Minogue" -> "I like money; I snugger." (by Aronas Pinchas) (2005)
"Kylie A. Minogue, songstress" -> "My gusset is soaking. Leer on!" (by Delishus by hand) (2004)